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Finding the Fourth Proportional to 953.58, 1,322.63 and 914.70

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Solution

The fourth proportional to 953.58, 1,322.63 and 914.70 is: 1,268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.58 : 1,322.63 = 914.70 : x
  2. Step 2: Convert to fraction form
    953.58/1,322.63 = 914.70/x
  3. Step 3: Cross multiply
    953.58x = 1,322.63 × 914.70
  4. Step 4: Simplify right side
    953.58x = 1,209,805.09
  5. Step 5: Solve for x
    x = 1,209,805.09/953.58
  6. Step 6: Final answer
    x = 1,268.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.